Answer:
9mi/h and 17mi/h
Step-by-step explanation:
1st, know the formula for speed (V=d/t).
2nd, clear d from the formula (d=V*t)
3rd, let X be the rate of the slower cyclist.
4th, we are told that the distance beetwen the cyclists is 130mi after 5h. So:
5x + 5(x+8) = 130 distance covered by slower cyclist + distance covered by faster cyclist = 130miles
5x + 5x + 40 = 130
10x = 130 - 40
x = 90/10
x = 9mi/hr is the rate of the slower cyclist.
9mi/h + 8mi/h = 17m/hr is the rate of the faster cyclist.